La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = 58Jxx
58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]

• 58Jxx Partial differential equations on manifolds; differential operators [See also 32Wxx, 35-XX, 53Cxx]
• 58J05 Elliptic equations on manifolds, general theory [See also 35-XX] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G03
• 58J10 Differential complexes [See also 35Nxx]; elliptic complexes [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G05
• 58J15 Relations with hyperfunctions [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G07
• 58J20 Index theory and related fixed point theorems [See also 19K56, 46L80] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G10
• 58J22 Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G12
• 58J26 Elliptic genera [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 11F11, 58G10, 58G12
• 58J28 Eta-invariants, Chern-Simons invariants [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 58G10, 58G25
• 58J30 Spectral flows [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 58G10, 58G25
• 58J32 Boundary value problems on manifolds [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G20
• 58J35 Heat and other parabolic equation methods [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G11
• 58J37 Perturbations; asymptotics [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G18
• 58J40 Pseudodifferential and Fourier integral operators on manifolds [See also 35Sxx] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G15
• 58J42 Noncommutative global analysis, noncommutative residues [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 58G15, 58B30
• 58J45 Hyperbolic equations [See also 35Lxx] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G16
• 58J47 Propagation of singularities; initial value problems [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G17
• 58J50 Spectral problems; spectral geometry; scattering theory [See also 35Pxx] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G25
• 58J52 Determinants and determinant bundles, analytic torsion [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G26
• 58J53 Isospectrality [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G25
• 58J55 Bifurcation [See also 35B32] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G28
• 58J60 Relations with special manifold structures (Riemannian, Finsler, etc.) [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G30
• 58J65 Diffusion processes and stochastic analysis on manifolds [See also 35R60, 60H10, 60J60] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G32
• 58J70 Invariance and symmetry properties [See also 35A30] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G35
• 58J72 Correspondences and other transformation methods (e.g. Lie-Bäcklund) [See also 35A22] [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G37
• 58J90 Applications [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G40
• 58J99 None of the above, but in this section [Nouveau code MSC 2000]
  • Code MSC1991 affilié : 58G99

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